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Question

Consider the figure:
If A=50​, B=70​, and x=2y, then find the value of x+2y. [2 Marks]


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Solution


x+y=A+B
[By exterior angle property]
=50o+70o=120

Also given,
x=2y

Thus,
x+y=1202y+y=120o3y=120oy=120o3y=40
[1 Mark]

Hence,
x=2y =40o×2 =80

x+2y=80o+80o=160o

So, the value of
x+2y=160
[1 Mark]

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